We point out some errors in the SIGMOD version of our Quickr [2] paper.
\nThe transitivity theorem, in Proposition 1 of Quickr, has a revision in item
\niii. The revised version is Proposition 5 in this document.
\nDefinition 1 in Appendix B.2, which defines dominance, has a revision in the
\ncondition for c-dominance. The revised version is Definition 1 in this document.
\nWe also offer new definitions of equivalence and weak equivalence.
\nThe dominance pushdown rules in Appendix B.3 have, in general, been revised
\nand substantially expanded. In particular, Proposition 7 in Quickr,
\nwhich relates to projections that drop columns is simple but incomplete;
\nPropositions 8 and 9 in this document consider the case of projections that rename
\ncolumns and create new columns respectively. Proposition 8 in Quickr,
\nwhich relates to pushing samplers past selections, is replaced with Proposition
\n10 in this document. Finally, we separate the Proposition 9 in Quickr,
\nwhich pushes samplers past joins, into two separate propositions; Proposition
\n2 considers the special-case of foreign key joins and Proposition 12
\nconsiders other equijoins.
\nOverall, we believe this document supersedes Quickr [2] in terms of accuracy analysis
\nand proofs.<\/p>\n","protected":false},"excerpt":{"rendered":"
We point out some errors in the SIGMOD version of our Quickr [2] paper. The transitivity theorem, in Proposition 1 of Quickr, has a revision in item iii. The revised version is Proposition 5 in this document. Definition 1 in Appendix B.2, which defines dominance, has a revision in the condition for c-dominance. 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